Comparative study of the cross-term deleted Wigner and cross biorthogonal representations

Two time-frequency representations that are devoid of cross-terms can be derived by expanding the Wigner distribution (WD) in terms of the Gabor coefficients of a given signal. These two representations are referred to as the cross term deleted Wigner representation (CDWR) and cross biorthogonal representation (XBIO). In this paper, we comparatively study these two representations with respect to (i) concentration/resolution, (ii) frequency and time resolvability, and (iii) noise reduction capabilities. Such a study would give insights to the applicability of these representations for a given signal. Simulation results of the comparative study are also provided.